Properties of Convex Fuzzy-Number-Valued Functions on Harmonic Convex Set in the Second Sense and Related Inequalities via Up and Down Fuzzy Relation

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dc.citation.spage399
dc.citation.volume12
dc.contributor.authorKhan, Muhammad Bilal
dc.contributor.authorStević, Željko
dc.contributor.authorMaash, Abdulwadoud A.
dc.contributor.authorNoor, Muhammad Aslam
dc.contributor.authorSoliman, Mohamed S.
dc.date.accessioned2024-12-05T10:27:13Z
dc.date.available2024-12-05T10:27:13Z
dc.date.issued2023
dc.description.abstractIn this paper, we provide different variants of the Hermite–Hadamard (H - H) inequality using the concept of a new class of convex mappings, which is referred to as up and down harmonically s-convex fuzzy-number-valued functions (UDH s-convex FNVM) in the second sense based on the up and down fuzzy inclusion relation. The findings are confirmed with certain numerical calculations that take a few appropriate examples into account. The results deal with various integrals of the 2rs r+s type and are innovative in the setting of up and down harmonically s-convex fuzzy-number-valued functions. Moreover, we acquire classical and new exceptional cases that can be seen as applications of our main outcomes. In our opinion, this will make a significant contribution to encouraging more research.
dc.identifier.doi10.3390/axioms12040399
dc.identifier.urihttps://vaseljena.ues.rs.ba/handle/123456789/1375
dc.language.isoen
dc.publisherMDPI
dc.sourceAxioms
dc.subjectup and down harmonically s-convex fuzzy-number-valued function in the second sense; Hermite–Hadamard inequality; Hermite–Hadamard–Fejér inequality
dc.titleProperties of Convex Fuzzy-Number-Valued Functions on Harmonic Convex Set in the Second Sense and Related Inequalities via Up and Down Fuzzy Relation
dc.typeArticle
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Саобраћајни факултет [Научни радови] / Faculty of Transport and Traffic Engineering [Scientific papers]